112101101120117 has 2 divisors, whose sum is σ = 112101101120118. Its totient is φ = 112101101120116.

The previous prime is 112101101120101. The next prime is 112101101120119. The reversal of 112101101120117 is 711021101101211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111751093995121 + 350007124996 = 10571239^2 + 591614^2 .

It is an emirp because it is prime and its reverse (711021101101211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112101101120117 - 2⁴ = 112101101120101 is a prime.

Together with 112101101120119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112101101120119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050550560058 + 56050550560059.

It is an arithmetic number, because the mean of its divisors is an integer number (56050550560059).

Almost surely, 2^{112101101120117} is an apocalyptic number.

It is an amenable number.

112101101120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101101120117 is an equidigital number, since it uses as much as digits as its factorization.

112101101120117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 20.

Adding to 112101101120117 its reverse (711021101101211), we get a palindrome (823122202221328).

The spelling of 112101101120117 in words is "one hundred twelve trillion, one hundred one billion, one hundred one million, one hundred twenty thousand, one hundred seventeen".